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We consider the motion of a overdamped Brownian particle in periodic asymmetric potential with space dependent friction coefficient. In the presence of external time periodic forcing, the system shows multiple current reversals on varying…

统计力学 · 物理学 2007-05-23 Debasis Dan , A. M. Jayannavar , Mangal C. Mahato

A reversal of the particle current in rocking Brownian motors was predicted more than 20 years ago; however, an experimental verification and a deeper insight into the underlying mechanisms remained elusive. Here, we investigate the high…

统计力学 · 物理学 2018-09-12 Christian Schwemmer , Stefan Fringes , Urs Duerig , Yu Kyoung Ryu Cho , Armin W. Knoll

A model of an autonomous isothermal Brownian motor with an internal propulsion mechanism is considered. The motor is a Brownian particle which is semi-transparent for molecules of surrounding ideal gas. Molecular passage through the…

统计力学 · 物理学 2015-06-15 A. V. Plyukhin

Feedback control uses the state information of the system to actuate on it. The information used implies an effective entropy reduction of the controlled system, potentially increasing its performance. How to compute this entropy reduction…

The existence and properties of an exact universal excitation waveform for optimal enhancement of directed ratchet transport are deduced from the criticality scenario giving rise to ratchet universality, and confirmed by numerical…

适应与自组织系统 · 物理学 2020-05-11 Ricardo Chacón , Pedro J. Martínez

Efficiency of generation of net unidirectional current in an adiabatically driven symmetric periodic potential system is studied. The efficiency shows a maximum, in the case of an inhomogeneous system with spatially varying periodic…

软凝聚态物质 · 物理学 2016-08-31 Debasis Dan , Mangal C. Mahato , A. M. Jayannavar

Brownian ratchet has emerged as a promising tool for understanding motion mechanism of molecules and proteins, and dynamically manipulating particles in non-equilibrium thermodynamics state. Here, we propose and experimentally demonstrate a…

光学 · 物理学 2021-06-02 Xionggui Tang , Yanhua Xu

We investigate the dynamics of quantum particles in a ratchet potential subject to an ac force field. We develop a perturbative approach for weak ratchet potentials and force fields. Within this approach, we obtain an analytic description…

统计力学 · 物理学 2009-11-07 Stefan Scheidl , Valerii M. Vinokur

We propose a new type of Josephson vortex ratchet. In this system a Josephson vortex moves in a periodic asymmetric potential under the action of a deterministic or random force with zero time average. For some implementations the amplitude…

超导电性 · 物理学 2009-10-31 E. Goldobin , A. Sterck , D. Koelle

Consider branching Brownian motion in which we begin with one particle at the origin, particles independently move according to Brownian motion, and particles split into two at rate one. It is well-known that the right-most particle at time…

概率论 · 数学 2024-06-10 Julien Berestycki , Jiaqi Liu , Bastien Mallein , Jason Schweinsberg

Run-and-Tumble particles, mimicking the behaviour of microorganisms like E. coli, are a paradigmatic model of active matter. Due to self-propulsion, their random and undirected motion can be rectified in a ratchet potential. Using…

统计力学 · 物理学 2022-04-11 Zigan Zhen , Gunnar Pruessner

We investigate the behaviour of a finite chain of Brownian particles, interacting through a pairwise quadratic potential, with one end of the chain fixed and the other end pulled away at slow speed, in the limit of slow speed and small…

概率论 · 数学 2019-12-12 Frank Aurzada , Volker Betz , Mikhail Lifshits

The average current of an overdamped Brownian particle moving along the axis of a three-dimensional periodic tube is investigated in the presence of a symmetric potential and a temporally symmetric unbiased external force. Reduction of the…

统计力学 · 物理学 2015-05-20 Bao-quan Ai , Liang-gang Liu

We model a Brownian heat engine as a Brownian particle that hops in a periodic ratchet potential where the ratchet potential is coupled with a linearly decreasing background temperature. It is shown that the efficiency of such Brownian heat…

统计力学 · 物理学 2016-06-29 Mesfin Asfaw Taye

We consider passive Brownian particles trapped in an "imperfect" harmonic trap. The trap is imperfect because it is randomly turned off and on, and as a result, particles fail to equilibrate. Another way to think about this is to say that a…

统计力学 · 物理学 2024-10-10 Derek Frydel

This paper deals with optimal prediction in a regime-switching model driven by a continuous-time Markov chain. We extend existing results for geometric Brownian motion by deriving optimal stopping strategies that depend on the current…

概率论 · 数学 2016-06-27 Yue Liu , Nicolas Privault

Controlled long-range transport of micro- and nano-scale objects is a key requirement in lab-on-a-chip and microfluidic applications, enabling the efficient capture, concentration, manipulation, and detection of analytes. Traditional…

Current reversal is an intriguing phenomenon that has been central to recent experimental and theoretical investigations of transport based on ratchet mechanism. By considering a system of two interacting ratchets, we demonstrate how the…

混沌动力学 · 物理学 2015-05-14 U. E. Vincent , A. Kenfack , D. V. Senthilkumar , D. Mayer , J. Kürths

We consider active Brownian particles that intermittently switch between active and inactive states. Such behavior is ubiquitous at all scales, from bacteria to animals and in artificial active systems. We derive exact expressions for key…

统计力学 · 物理学 2025-09-24 Fernando Peruani , Debasish Chaudhuri

During a random search, resetting the searcher's position from time to time to the starting point often reduces the mean completion time of the process. Although many different resetting models have been studied over the past ten years,…

统计力学 · 物理学 2022-09-15 Gabriel Mercado-Vásquez , Denis Boyer , Satya N. Majumdar